1. In some cases the ( weighted ) normal equations matrix " X" 2. The normal equation of supply versus demand is temporarily thrown out of whack. 3. The above equations are called the normal equations or Yule-Walker equations. 4. When fitting polynomials the normal equations matrix is a Vandermonde matrix. 5. Which is equivalent to the above-given normal equations . 6. In order to get the normal equations we follow a similar path as in previous derivations: 7. The normal equations are " m " linear simultaneous equations in the unknown increments, & Delta;. 8. However the downside of forming the normal equations is that the condition number ? ( "'A "' 9. For the unified solution, a normal equation matrix was formed based on each of the mentioned data sets. 10. This method is the most computationally intensive, but is particularly useful if the normal equations matrix, " X"